名校
1 . (1)已知
为
中点,过点
作
于
,交
于点
,求
.
(2)已知
,过点
作
于
,交
于点
,求
.
(3)在(2)的条件下,
为常数,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c4c49765e33742b4204d6904dc3a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39b13d187b25461d85a3b8d10c7b678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5378a3867bf1a7386b1330aa8b36f0a7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/1e748517-2524-4763-aeb1-30d7a2bd7e1d.png?resizew=155)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df89cefacfd826262825276a739ca4f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39b13d187b25461d85a3b8d10c7b678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5378a3867bf1a7386b1330aa8b36f0a7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/24/7e2e9fd4-ce48-414d-8682-dee6f813a104.png?resizew=154)
(3)在(2)的条件下,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f03cab451843012fd80fa6cc698c648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe857997fa13837880f520673db7809.png)
您最近一年使用:0次
2 . 定义
,其中
为奇素数.
(1)给出同余方程
的满足
的一组解;
(2)(代数基本定理)设
,且
,求证
在
内至多有
个解;
(3)(
小定理)求证:
;
(4)(原根存在定理)若正整数
满足:
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80754c6842db876978ab0c306640186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411837b4b3078d05b43cb0439259a362.png)
,则记
,则称
为
在
意义下的阶,求证:必定存在
,有
;
(5)求证,存在
,都存在
中必有一者成立;
(6)说明当
时,
必有一组非零解
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa82bc7122ca89b418d33b694350f987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(1)给出同余方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b2afe64159eac83151200719a5c815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964cf4f45603e28dec030a286786750.png)
(2)(代数基本定理)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2b731f8e2eaa9ac5e3eff49f586820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a59917a9390d454668b58a0c22c08b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6227f2f164910966f194fb857d5e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b75c20efa27f38e93e3ce9e00005ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(3)(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9362bb4f6acf4bf074d0b7bc7b7aba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34e11a5e27430447b806863c5fdc76e.png)
(4)(原根存在定理)若正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e026ac41c5502a4743b336845bae2d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1e84f1d28522a63e61283132d1af48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80754c6842db876978ab0c306640186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411837b4b3078d05b43cb0439259a362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097f1e1905c0034991b00c360c5d28f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58bb4eb36d6c696377fe2e14bbb66858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa75d323fa66f6320034f2c7f45a6c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b657e7e787a785063afc56cb983ca56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e0f45eacebab3cc301c18df8fa0cd1.png)
(5)求证,存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66543500cdc7031573611000b1b5f85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107ba654d76c8b754beb5d173c06c6a7.png)
(6)说明当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b47dded788f1274064925d5f38384e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95730071c97ce5e4d33780626f52e23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bad85768515c66beee8beeb0556520.png)
您最近一年使用:0次
名校
3 . 我们称
为“花式集合”,如果它满足如下三个条件:
(a)
;
(b)
的每个元素都是包含于
中的闭区间(元素可重复);
(c)对于任意实数
中包含
的元素个数不超过1011.
对于“花式集合”
和区间
,用
表示使得
的对
的数量.求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(a)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4105c41b98ebc0e7144eff1ba792c76d.png)
(b)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
(c)对于任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7bfa1a59b3451a4379f7cbc074ef60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
对于“花式集合”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fc1c4dd7cb41e3342eb79054ef1a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e6ceed58d644f9027ea60bd0f1f557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aeb55594a33f7ac1d8d93dc5b13cb82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1ac9030ad24307666928b511a0f45e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e6ceed58d644f9027ea60bd0f1f557.png)
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名校
4 . 已知函数
和
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)求
在
处的切线方程;
(2)若当
时,
恒成立,求
的取值范围;
(3)若
与
有相同的最小值.
①求出
;
②证明:存在实数
,使得
和
共有三个不同的根
、
、
,且
、
、
依次成等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d210070cc28a32cd9c3e848e195726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952a0cde9449eef7c5f11385c7432e71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00d47ef1d331094530990ffe38e1d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
①求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②证明:存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7aec235f9df6700f3cbc89c8bcecb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8ad137a5bf6b24e0dd8dff417c31cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fc0ce080b8ad8b63ba63259c680b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
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2023-01-10更新
|
899次组卷
|
3卷引用:天津市滨海新区塘沽第一中学2022-2023学年高三上学期期末数学试题
天津市滨海新区塘沽第一中学2022-2023学年高三上学期期末数学试题江苏省南京市宁海中学2022-2023学年高三下学期二月检测数学试题(已下线)江苏省南京市六校联合体2023-2024学年高三上学期11月期中数学试题变式题19-22
5 . 已知一动圆与圆
外切,与圆
内切,该动圆的圆心的轨迹为曲线
.
(1)求曲线
的方程.
(2)已知点
在曲线
上,斜率为
的直线
与曲线
交于
两点(异于点
).记直线
和直线
的斜率分别为
,
,从下面①、②、③中选取两个作为已知条件,证明另外一个成立.
①
;②
;③
.
注:若选择不同的组合分别解答,则按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334eced457d4ba4b994fb8f90073a026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a195b6d605a528ae425ba2d641c1dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8115c09f801cf0bb02293baef7bf137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d200a411fbc2f50ad72f1fd729a7d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71471908991617852f8b27bceeb689cd.png)
注:若选择不同的组合分别解答,则按第一个解答计分.
您最近一年使用:0次
2023-01-05更新
|
1268次组卷
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3卷引用:河北省张家口市2022-2023学年高二上学期期末数学试题
名校
解题方法
6 . 现有一种射击训练,每次训练都是由高射炮向目标飞行物连续发射三发炮弹,每发炮弹击中目标飞行物与否相互独立.已知射击训练有A,B两种型号的炮弹,对于A型号炮弹,每发炮弹击中目标飞行物的概率均为p(
),且击中一弹目标飞行物坠毁的概率为0.6,击中两弹目标飞行物必坠段;对子B型号炮弹,每发炮弹击中目标飞行物的概率均为q(
),且击中一弹目标飞行物坠毁的概率为0.4,击中两弹目标飞行物坠毁的概率为0.8,击中三弹目标飞行物必坠毁.
(1)在一次训练中,使用B型号炮弹,求q满足什么条件时,才能使得至少有一发炮弹命中目标飞行物的概率不低于
;
(2)若
,试判断在一次训练中选用A型号炮弹还是B型号炮弹使得目标飞行物坠毁的概率更大?并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f2beb272e7c3342233f5cb681ac24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca664b1e82da6f50064a76fe118aa80.png)
(1)在一次训练中,使用B型号炮弹,求q满足什么条件时,才能使得至少有一发炮弹命中目标飞行物的概率不低于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d05b911352e3a8a47c767b23023984.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b70d4a3fc3e01b5a6358cf4e57578e6.png)
您最近一年使用:0次
2022-12-27更新
|
2083次组卷
|
5卷引用:广东省东莞市2023届高三上学期期末数学试题
广东省东莞市2023届高三上学期期末数学试题(已下线)专题11-2 概率与分布列大题归类-2(已下线)专题9-1 概率与统计及分布列归类(理)(讲+练)-1湖南省长沙市第一中学2023-2024学年高三上学期月考(一)数学试题(已下线)第四篇 概率与统计 专题7 常见分布 微点3 常见分布综合训练
7 . 已知函数
.
(1)若
是
的极值点,求a;
(2)若
,
分别是
的零点和极值点,证明下面①,②中的一个.
①当
时,
;②当
时,
.
注:如果选择①,②分别解答,则按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/719a6309ef24da108180f866ebbc052c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880a0146023767282bffe07f7c22f613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34efece0b628625e78e19c389556d48d.png)
注:如果选择①,②分别解答,则按第一个解答计分.
您最近一年使用:0次
2022-12-26更新
|
2056次组卷
|
7卷引用:2022年9月《浙江省新高考研究卷》(全国I卷)数学试题(五)
2022年9月《浙江省新高考研究卷》(全国I卷)数学试题(五)湖南省株洲市二中教育集团2023届高三上学期1月期末联考数学试题(已下线)技巧04 结构不良问题解题策略(精讲精练)-1(已下线)专题4 劣构题题型(已下线)高考新题型-一元函数的导数及其应用重庆市万州第二高级中学2023届高三三诊数学试题(已下线)技巧04 结构不良问题解题策略(5大题型)(练习)
解题方法
8 . 已知函数
.
(1)若
是函数
的极值点,证明:
;
(2)证明:对于
,存在
的极值点
,
满足
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1947fd8b1e5fa9096c13256fdb3a23ed.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6133358b60e493e01a4c1c0a48d7b89e.png)
(2)证明:对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12d0bd9afdd4e53ff37f5bfcaa1106c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1974c74aa530c586016005f0b11c82dd.png)
您最近一年使用:0次
名校
9 . 已知函数
.
(1)记集合
,若
,求证:
;
(2)设函数
,若存在实数
,使
,求实数
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041d7fe67bbac3c33cf518b569e0db62.png)
(1)记集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8ceab71f602458b1ef071c778ff31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f586ebc64ac4c87b1ceed35c8bdb7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530d3bb7d7268d51194c09198531f19a.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f750d5d121271c431f35164f2f87212c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc9176a9d1bf52fd1b4e58b88c46032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-12-18更新
|
819次组卷
|
2卷引用:江苏省南通中学2022-2023学年高一上学期第二次月考数学试题
名校
10 . 已知函数
,其中
,函数
在
上的零点为
,函数
.
(1)证明:
①
;
②函数
有两个零点;
(2)设
的两个零点为
,证明:
.
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7495c0f25cf04e5e59bb4ae43ffc4fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c940cb46e4a6eae0b7172414c965b66f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c353f6bf5422164ef1496838ba1e6de0.png)
(1)证明:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ffa38ec984cae2089a6061c5b231dc5.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f127c78da4fd62e8e98f2262400bda.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2995cf1665e01b853555e62aeaf0ac31.png)
您最近一年使用:0次
2022-12-16更新
|
1827次组卷
|
4卷引用:T8(华师一附中、湖南师大附中等)2023届高三上学期第一次学业质量评价数学试题